Question

the length of a side and diagonal of a rhombus is 13m and 10m respectively.find the area of the rhombus​

Answer 1

Answer:

Length of side = 13 m

Length of diagonal 1 = 10 m

∴ 1/2 of diagonal 1 = 1/2 of 10 m = 5 m

Hypotenuse² = a² + b²

13 ² = 5 ² + b ²

169 = 25 + b²

144 = b²

√144 = b

12 m = b

∴ Diagonal 2 = 12 + 12 = 24 m

∴ Area of Rhombus = 1/2 x d x d

                                = 1/2 x 10 m x 24 m

                                = 10 m x 12 m

                                = 120 m ²